To find the inequality that represents the situation, we need to consider the total profit the class wants to make from selling the cookies.
Here's how you can break it down:
- Total Cookies Made: 120 cookies
- Cost of Supplies: $22
- Desired Profit: At least $50
The total revenue from selling the cookies can be represented as \( 120p \), where \( p \) is the price per cookie. The profit can be calculated by taking the total revenue and subtracting the cost of supplies. The profit must be at least $50, so we can set up the inequality:
\[ \text{Total Revenue} - \text{Cost of Supplies} \geq \text{Desired Profit} \]
Substituting in the numbers:
\[ 120p - 22 \geq 50 \]
Now, to isolate \( p \), we can add 22 to both sides:
\[ 120p \geq 72 \]
Next, we divide both sides by 120:
\[ p \geq \frac{72}{120} \]
Simplifying the fraction:
\[ p \geq 0.6 \]
Thus, the inequality that the class should use to determine the possible prices (p) for selling the cookies is:
\[ p \geq 0.60 \]
So, the class should sell each cookie for at least $0.60 to reach its goal.